For what value of k, the following pair of linear equations has infinitely many solutions?
10x + 5y - (k - 5) = 0 20x + 10y - k = 0.
Here, we have a1 = 10 b1 = 5 c1 = - (k - 5) a2 = 20 b2 = 10 c2 = - k For infinitely many solutions, we have
Hence, the given system of equations has infinitely many solutions, when k = 10.
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